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Finding the Fourth Proportional to 8,707.95, 12,020.40 and 5,877

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Solution

The fourth proportional to 8,707.95, 12,020.40 and 5,877 is: 8,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.95 : 12,020.40 = 5,877 : x
  2. Step 2: Convert to fraction form
    8,707.95/12,020.40 = 5,877/x
  3. Step 3: Cross multiply
    8,707.95x = 12,020.40 × 5,877
  4. Step 4: Simplify right side
    8,707.95x = 70,643,890.80
  5. Step 5: Solve for x
    x = 70,643,890.80/8,707.95
  6. Step 6: Final answer
    x = 8,112.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.